The total surface area of a cube is 96 cm². The length of a diagonal of the cube is :

1. 16 cm

2. $8\sqrt{3}$ cm

3. $6\sqrt{3}$ cm

4. $4\sqrt{3}$ cm

The length of the diagonal of a cube is $6\sqrt{6} \text{ cm}$. The total surface area of the cube is :

1. 216 cm²

2. 432 cm²

3. 1296 cm²

4. 1548 cm²

460 cm² of metal sheet is needed to make a closed box of length 12 cm and height 5 cm. The breadth of the box is :

1. 10 cm

2. 12 cm

3. 14 cm

4. 16 cm

The length of the largest rod that can be kept in a room of length 5 m, breadth 4 m and height 3 m is :

1. $3\sqrt{2}\text{ m}$

2. $5\sqrt{2}\text{ m}$

3. $7\sqrt{2}\text{ m}$

4. $\sqrt{2}\text{ m}$